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Finding the Fourth Proportional to 280,542.81, 387,143.10 and 153,218.91

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Solution

The fourth proportional to 280,542.81, 387,143.10 and 153,218.91 is: 211,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,542.81 : 387,143.10 = 153,218.91 : x
  2. Step 2: Convert to fraction form
    280,542.81/387,143.10 = 153,218.91/x
  3. Step 3: Cross multiply
    280,542.81x = 387,143.10 × 153,218.91
  4. Step 4: Simplify right side
    280,542.81x = 59,317,643,796.02
  5. Step 5: Solve for x
    x = 59,317,643,796.02/280,542.81
  6. Step 6: Final answer
    x = 211,438.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.